Diffusion Limited Aggregation

By iterating a random walk that terminates once the walker encounters the existing aggregate, a biologically inspired structure emerges. Diffusion-limited aggregation (DLA), first studied in the 1980s, provides a simple framework for modeling processes dominated by diffusion. The method is straightforward to implement on modern hardware and produces striking, unique patterns. Similar branching structures can also be observed during dielectric breakdown in certain materials.

In this model, walkers are generated uniformly along the boundary of the unit circle, forming a circular halo around the central aggregate.